Finding the Third Proportional to 10,096.13 and 20,695.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.13 : 20,695.88 = 20,695.88 : x
2. Step 2: Convert to fraction form
   10,096.13/20,695.88 = 20,695.88/x
3. Step 3: Cross multiply
   10,096.13x = 20,695.88 × 20,695.88
4. Step 4: Simplify right side
   10,096.13x = 428,319,242.02
5. Step 5: Solve for x
   x = 428,319,242.02/10,096.13
6. Step 6: Final answer
   x = 42,424.12